A Nonstandard Generalization of Envelopes

A Nonstandard Generalization of Envelopes

The generalized envelopes are studied by a given nonstandard definition of envelope of a family of lines defined in a projective homogenous coordinates <strong>PHC</strong> by: u(t)<em>x </em>+ v(t)<em>y</em> + w(t)<em>z</em> = 0. The new nonstandard c...

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Bibliographic Details
Main Authors: Tahir Ismail, Ibrahim Hamad
Format: Article
Language:Arabic
Published: Mosul University 2008-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
infinitesimals
monad
envelope
Online Access:https://csmj.mosuljournals.com/article_163973_f275ab700cae977960ce332b9b05d99c.pdf
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spelling doaj-6d6abeaf84204b058ba418567b0c06a52020-11-25T04:09:05ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics 1815-48162311-79902008-12-0152738310.33899/csmj.2008.163973163973A Nonstandard Generalization of EnvelopesTahir Ismail0Ibrahim Hamad1College of Computer Sciences and Mathematics University of MosulCollege of Science University of SalahaddinThe generalized envelopes are studied by a given nonstandard definition of envelope of a family of lines defined in a projective homogenous coordinates <strong>PHC</strong> by: u(t)<em>x </em>+ v(t)<em>y</em> + w(t)<em>z</em> = 0. The new nonstandard concepts of envelope are applied to conic sections. Our goal in this paper is hat for a given conic section curve <em>f</em>(x,y)=0, we search for the family of lines in which  <em>f</em>  is its envelope.https://csmj.mosuljournals.com/article_163973_f275ab700cae977960ce332b9b05d99c.pdfinfinitesimalsmonadenvelope
collection DOAJ
language Arabic
format Article
sources DOAJ
author Tahir Ismail
Ibrahim Hamad
spellingShingle Tahir Ismail
Ibrahim Hamad
A Nonstandard Generalization of Envelopes
Al-Rafidain Journal of Computer Sciences and Mathematics
infinitesimals
monad
envelope
author_facet Tahir Ismail
Ibrahim Hamad
author_sort Tahir Ismail
title A Nonstandard Generalization of Envelopes
title_short A Nonstandard Generalization of Envelopes
title_full A Nonstandard Generalization of Envelopes
title_fullStr A Nonstandard Generalization of Envelopes
title_full_unstemmed A Nonstandard Generalization of Envelopes
title_sort nonstandard generalization of envelopes
publisher Mosul University
series Al-Rafidain Journal of Computer Sciences and Mathematics
issn 1815-4816
2311-7990
publishDate 2008-12-01
description The generalized envelopes are studied by a given nonstandard definition of envelope of a family of lines defined in a projective homogenous coordinates <strong>PHC</strong> by: u(t)<em>x </em>+ v(t)<em>y</em> + w(t)<em>z</em> = 0. The new nonstandard concepts of envelope are applied to conic sections. Our goal in this paper is hat for a given conic section curve <em>f</em>(x,y)=0, we search for the family of lines in which  <em>f</em>  is its envelope.
topic infinitesimals
monad
envelope
url https://csmj.mosuljournals.com/article_163973_f275ab700cae977960ce332b9b05d99c.pdf
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